Spatial Variation of Correlation Times for 1D Phase Turbulence

David A. Egolf; Henry S. Greenside

doi:10.1016/0375-9601(94)90173-2

Spatial Variation of Correlation Times for 1D Phase Turbulence

chao-dyn 2009-10-22 v1 comp-gas Chaotic Dynamics Cellular Automata and Lattice Gases Pattern Formation and Solitons patt-sol

Authors: David A. Egolf , Henry S. Greenside

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Abstract

For one-dimensional phase-turbulent solutions of the Kuramoto-Sivashinsky equation with rigid boundary conditions, we show that there is a substantial variation of the correlation time~ $\tau_c(x)$ with spatial position $x$ in moderately large systems of size $L$ . These results suggest that some time-averaged properties of spatiotemporal chaos do not become homogeneous away from boundaries for large systems and for long times.

Keywords

phase turbulence Kuramoto-Sivashinsky equation correlation time spatial variation spatiotemporal chaos rigid boundary conditions

Cite

@article{arxiv.chao-dyn/9311002,
  title  = {Spatial Variation of Correlation Times for 1D Phase Turbulence},
  author = {David A. Egolf and Henry S. Greenside},
  journal= {arXiv preprint arXiv:chao-dyn/9311002},
  year   = {2009}
}

Comments

17 pages including 5 figures (Postscript files separate from the main text), uses revtex macros. Submitted to Physics Letters A

Spatial Variation of Correlation Times for 1D Phase Turbulence

Abstract

Keywords

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